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Finding the Fourth Proportional to 3,356.80, 4,632 and 1,959.68

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Solution

The fourth proportional to 3,356.80, 4,632 and 1,959.68 is: 2,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.80 : 4,632 = 1,959.68 : x
  2. Step 2: Convert to fraction form
    3,356.80/4,632 = 1,959.68/x
  3. Step 3: Cross multiply
    3,356.80x = 4,632 × 1,959.68
  4. Step 4: Simplify right side
    3,356.80x = 9,077,237.76
  5. Step 5: Solve for x
    x = 9,077,237.76/3,356.80
  6. Step 6: Final answer
    x = 2,704.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.